Answer:
For the sampling distribution,
a) Mean = μₓ = 55.0 students.
b) Standard Deviation = 1.8 students.
Step-by-step explanation:
The complete Question is attached to this solution.
The Central limit theorem explains that for the sampling distribution, the mean is approximately equal to the population mean and the standard deviation of the sampling distribution is related to the population standard deviation through
σₓ = (σ/√n)
where σ = population standard deviation = 4
n = sample size = 5
Mean = population mean
μₓ = μ = 55 students.
Standard deviation
σₓ = (σ/√n) = (4/√5) = 1.789 students = 1.8 students to 1 d.p
Hope this Helps!!!
The value of scale k is 3
Step-by-step explanation:
In order to find the scale , we can either divide the coordinates of H' by the original point or compare both the points to find the original ordered pair.
Given
H(3,4)
H'(9,12)
The coordinates of H are multiplied with some integer k to form H'
So,
<u>For x-coordinate:</u>
3k = 9
k = 9/3 = 3
<u>For y-coordinate:</u>
4k = 12
k = 12/4 = 3
Hence,
The value of scale k is 3
Keywords: Coordinate geometry, scaling
Learn more about scaling at:
#LearnwithBrainly
Answer : Remaining two observation becomes 97 and 107.
Explanation :
Since we have given that
Mean = 100
Modal value = 98
Range = 10
As we know that ,
Range = Highest-Lowest
Let highest observation be x
Let lowest observation be y
So equation becomes x-y=10 ----equation 1
So, observation becomes
x,98,98,y
Now, we use the formula of mean i.e.
Mean = 
So, mean =
So our 2nd equation becomes
x+y=204
On using elimination method of system of linear equation on these two equation we get,
x=97
and
Hence , remaining two observation becomes 97 and 107.
Answer:
their hopes will come true
Step-by-step explanation:
Using the formula for calculating amount expressed as;
A = P(1+r)^t
Given
P = $15000
r = 9.6% = 0.096
t = 15years (18-3)
Substitute;
A = 15,000(1+0.096)^15
A = 15,000(1.096)^15
A = 15000(3.9551)
A = 59,326.6
As we can see, the money is even more than twice the original amount, this shows that their hopes will come true
<em>54</em>
- Step-by-step explanation:
<em>- 2n(5 + n - 8 - 3n) =</em>
<em>replace n = 3</em>
<em>- 2(3)(5 + 3 - 8 - 3×3)</em>
<em>= - 6(8 - 8 - 9)</em>
<em>= - 6(0 - 9)</em>
<em>= - 6 × - 9</em>
<em>= 54</em>
<em>(-)(-) = +</em>
